Chess match tiebreaks often end with pairs of blitz games followed by an Armageddon game if necessary. Modify it so that instead of going into Armageddon, the players can mutually agree to continue to play another pair of blitz. After each tied pair of blitz games, offer the choice again. If either player doesn't want to continue pairs of blitz, then Armageddon.
They can also mutually agree for the outcome of the match to be decided by coin toss, perhaps as a joint political statement about their dislike of Armageddon or even of pairs of blitz.
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